Assigning Weights to Minimize the Covering Radius in the Plane
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Given a set P of n points in the plane and a multiset W of k weights with k≤ n, we assign each weight in W to a distinct point in P to minimize the maximum weighted distance from the weighted center of P to any point in P. In this paper, we give two algorithms which take O(k^2n^2^3 n) time and O(k^5n^3k+kn^3 n) time, respectively. For a constant k, the second algorithm takes only O(n^3n) time, which is near linear.
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